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Real analysis: theory of measure and integration/ J Yeh

By: Publication details: London: World Scientific, 2014 Edition: 3rdDescription: xii, 815 pages; 23cmISBN:
  • 9789814578547
Subject(s): DDC classification:
  • 23rd 515.42 Y43
Contents:
Measure Spaces -- The Lebesgue Integral -- Differentiation and Integration -- The Classical Banach Spaces -- Extension of Additive Set Function to Measures -- Hausdorff Measures on the Euclidean Space -- A Digital Expansion of Real Numbers -- B Measurability of Limits and Derivatives -- C Lipschitz Condition and Boundded Derivative -- D Uniform Integrability -- E Product measurability and Factor measurability -- F Function of Oscillation
Summary: This book presents a Unified treatise of the theory of measure and integration.General measure spsce,every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter examples are provided to show that certain conditions in the hypothesis of a theorm cannot be simply dropped.
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Includes Bibliography and index

Measure Spaces -- The Lebesgue Integral -- Differentiation and Integration -- The Classical Banach Spaces -- Extension of Additive Set Function to Measures -- Hausdorff Measures on the Euclidean Space -- A Digital Expansion of Real Numbers -- B Measurability of Limits and Derivatives -- C Lipschitz Condition and Boundded Derivative -- D Uniform Integrability -- E Product measurability and Factor measurability -- F Function of Oscillation

This book presents a Unified treatise of the theory of measure and integration.General measure spsce,every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter examples are provided to show that certain conditions in the hypothesis of a theorm cannot be simply dropped.

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